Singularities of wavefronts and lightcones in the context of GR via null foliations

TL;DR

This paper explores the singularities of null hypersurfaces in general relativity using a null foliation framework, providing insights into the focusing of null geodesics and their implications.

Contribution

It introduces a novel approach to analyze null hypersurface singularities within the null foliation formulation of GR, enhancing understanding of geodesic focusing.

Findings

Analysis of null hypersurface singularities

Insights into geodesic focusing effects

Application of null foliation to singularity study

Abstract

We describe an approach to the issue of the singularities of null hypersurfaces, due to the focusing of null geodesics, in the context of the recently introduced formulation of GR via null foliations.